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Finding the Fourth Proportional to 900.46, 1,352.18 and 681.09

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Solution

The fourth proportional to 900.46, 1,352.18 and 681.09 is: 1,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.46 : 1,352.18 = 681.09 : x
  2. Step 2: Convert to fraction form
    900.46/1,352.18 = 681.09/x
  3. Step 3: Cross multiply
    900.46x = 1,352.18 × 681.09
  4. Step 4: Simplify right side
    900.46x = 920,956.28
  5. Step 5: Solve for x
    x = 920,956.28/900.46
  6. Step 6: Final answer
    x = 1,022.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.